Pruebas De Numeros Aleatorios

Ex:4 Page 58 Smalltown Taxi operates one vehicle during the 9:00 A.M. to 5:00 P.M. period. Currently, consideration is being given to the addition of a second vehicle to the fleet. The demand for taxis follows the distribution shown: Time between Calls (Minutes) 15 Probability 0.14

20 0.22

25 0.43

30 0.17

35 0.04

The distribution of time to complete a service is as follows: ServiceTime (Minutes) 5 Probability 0.12

15 0.35

25 0.43

35 0.06

45 0.04

Simulate five individual days of operation of the current system and the system with an additional taxicab. Compare the two systems with respect to the waiting times of the customers and any other measures that might shed light on the situation.

The Answer : (for 2 days only)
Time Between Calls 15 20 25 30 35Probability 0.14 0.22 0.43 0.17 0.04 Cumulative Probability 0.14 0.36 0.79 0.96 1 Range 00 14 36 79 96 13 35 78 95 99

Service Time 5 15 25 35 45

Probability 0.12 0.35 0.43 0.06 0.04

Cumulative Probability 0.12 0.47 0.9 0.96 1

Range 00 12 47 90 96 11 46 89 95 99

One Cab
Day # 1 Rnd1 51 92 36 47 80 94 31 07 09 19 29 29 94 87 85 66 78 94 56 67 07 43 36 03 46 16 74 82 31 17 00 95 88 6467 31 70 35 02 67 52 93 Time Between Calls 25 30 25 25 30 30 20 15 15 20 20 20 30 30 30 25 25 30 25 25 15 25 25 15 25 20 25 30 20 20 15 30 30 25 25 20 25 20 15 25 25 30 Call Time 09:25:00 AM 09:55:00 AM 10:20:00 AM 10:45:00 AM 11:15:00 AM 11:45:00 AM 12:05:00 PM 12:20:00 PM 12:35:00 PM 12:55:00 PM 01:15:00 PM 01:35:00 PM 02:05:00 PM 02:35:00 PM 03:05:00 PM 03:30:00 PM 03:55:00 PM 04:25:00 PM04:50:00 PM 05:15:00 PM 09:15:00 AM 09:40:00 AM 10:05:00 AM 10:20:00 AM 10:45:00 AM 11:05:00 AM 11:30:00 AM 12:00:00 PM 12:20:00 PM 12:40:00 PM 12:55:00 PM 01:25:00 PM 01:55:00 PM 02:20:00 PM 02:45:00 PM 03:05:00 PM 03:30:00 PM 03:50:00 PM 04:05:00 PM 04:30:00 PM 04:55:00 PM 05:25:00 PM Waiting Time 00:00 00:00 00:00 00:00 00:00 00:00 00:00 00:10 00:10 00:00 00:00 00:00 00:00 00:05 00:00 00:00 00:0000:00 00:00 00:00 00:00 00:00 00:10 00:10 00:05 00:05 00:00 00:00 00:00 00:10 00:05 00:00 00:00 00:00 00:05 00:05 00:00 00:00 00:00 00:20 Rnd2 03 82 07 78 45 13 53 24 01 37 02 29 94 34 19 38 82 07 70 45 22 60 82 22 61 75 31 26 75 88 09 86 15 55 59 25 28 57 98 04 Service Time 5 25 5 25 15 15 25 15 5 15 5 15 35 15 15 15 25 5 25 15 15 25 25 15 25 25 15 15 25 25 5 25 15 25 25 15 15 25 45 5 40 1:40 312:10 6:5 Service Start 09:25:00 AM 09:55:00 AM 10:20:00 AM 10:45:00 AM 11:15:00 AM 11:45:00 AM 12:05:00 PM 12:30:00 PM 12:45:00 PM 12:55:00 PM 01:15:00 PM 01:35:00 PM 02:05:00 PM 02:40:00 PM 03:05:00 PM 03:30:00 PM 03:55:00 PM 04:25:00 PM 04:50:00 PM 09:15:00 AM 09:40:00 AM 10:05:00 AM 10:30:00 AM 10:55:00 AM 11:10:00 AM 11:35:00 AM 12:00:00 PM 12:20:00 PM 12:40:00 PM 01:05:00 PM 01:30:00 PM 01:55:00PM 02:20:00 PM 02:45:00 PM 03:10:00 PM 03:35:00 PM 03:50:00 PM 04:05:00 PM 04:30:00 PM 05:15:00 PM Service End Idle Time 09:30:00 AM 10:20:00 AM 10:25:00 AM 11:10:00 AM 11:30:00 AM 12:00:00 PM 12:30:00 PM 12:45:00 PM 12:50:00 PM 01:10:00 PM 01:20:00 PM 01:50:00 PM 02:40:00 PM 02:55:00 PM 03:20:00 PM 03:45:00 PM 04:20:00 PM 04:30:00 PM 05:15:00 PM 09:30:00 AM 09:55:00 AM 10:30:00 AM 10:55:00 AM11:10:00 AM 11:35:00 AM 12:00:00 PM 12:15:00 PM 12:35:00 PM 01:05:00 PM 01:30:00 PM 01:35:00 PM 02:20:00 PM 02:35:00 PM 03:10:00 PM 03:35:00 PM 03:50:00 PM 04:05:00 PM 04:30:00 PM 05:15:00 PM 05:20:00 PM 25 25 0 20 5 15 5 0 0 5 5 15 15 0 10 10 10 5 20 15 10 10 0 0 0 0 0 5 5 0 0 20 0 10 0 0 0 0 0 0 -

2

Count of customers : Total waiting Time : Average waiting Time : Total Service Time : TotalService Time/Day :

Customers H:M Minutes H:M H:M

Cab Idle Time : Cab Idle Time/Day :

4:25 H:M 2:13 H:M

Two cabs
Day # Rnd1 1 51 92 36 47 80 94 31 07 09 19 29 29 94 87 85 66 78 94 56 67 07 43 36 03 46 16 74 82 31 17 00 95 88 64 67 31 70 35 02 67 52 93 Time Between Calls 25 30 25 25 30 30 20 15 15 20 20 20 30 30 30 25 25 30 25 25 15 25 25 15 25 20 25 30 20 20 15 30 30 25 25 20 25 20...